Question

The number of sides of regular polygon if the measure of its interior angle is 150 degree​

Answer 1

12 sides

Step-by-step explanation:

`\sf interior \ angle = ((n-2) * 180)/(n) \quad (where \ n \ denotes\ number \ of \ sides)`

Solving Steps:

`\sf ((n-2) * 180)/(n) = 150`

`\sf (n-2) * 180} = 150n`

`\sf 180n-360 = 150n`

`\sf 180n-150n = 360`

`\sf 30n = 360`

`\sf n = 12`